Cryptology ePrint Archive: Report 2013/297

Improvement and Efficient Implementation of a Lattice-based Signature Scheme

Rachid El Bansarkhani and Johannes Buchmann

Abstract: Lattice-based signature schemes constitute an interesting alternative
to RSA and discrete logarithm based systems which may become
insecure in the future, for example due to the possibility of quantum
attacks. A particularly interesting scheme in this context is the GPV signature scheme [GPV08] combined with the trapdoor construction from
Micciancio and Peikert [MP12] as it admits strong security proofs and
is believed to be very efficient in practice. This paper conrms this belief and shows how to improve the GPV scheme in terms of space and
running time and presents an implementation of the optimized scheme.
A ring variant of this scheme is also introduced which leads to a more
ecient construction. Experimental results show that GPV with the new
trapdoor construction is competitive to the signature schemes that are
currently used in practice.